QJEEM23Ch7f8f: JEE Main 2023 Chemistry - Class 11 JEEM23Ch7f8f Solution: At , the solubility of silver chloride in water is . The value…

Question

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At

298 \mathrm{~K}

, the solubility of silver chloride in water is

1.434 \times 10^{-3} \mathrm{~g} \mathrm{~L}^{-1}

. The value of

-\log \mathrm{K}_{\mathrm{sp}}

for silver chloride is _________.

(Given mass of

\mathrm{Ag}

is

107.9 \mathrm{~g} \mathrm{~mol}^{-1}

and mass of

\mathrm{Cl}

is

35.5 \mathrm{~g} \mathrm{~mol}^{-1}

)

Accepted Answer

\begin{aligned}&amp; \mathrm{K}_{\mathrm{sp}}=\left(\mathrm{Ag}^{+}\right)\left(\mathrm{Cl}^{-}\right)=\mathrm{S} \times \mathrm{S}=\mathrm{S}^2 \\\\&amp; \mathrm{~S}=\sqrt{\mathrm{K}_{\mathrm{sp}}} \\\\&amp; \mathrm{S}=\frac{1.434 \times 10^{-3}}{143.4}=10^{-5} \\\\&amp; \mathrm{~K}_{\mathrm{sp}}=\mathrm{S}^2=10^{-10} \\\\&amp; \Rightarrow-\log \left(\mathrm{K}_{\mathrm{sp}}\right)=-\log \left(10^{-10}\right)=10\end{aligned}

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